x^2-42x+525=0

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Solution for x^2-42x+525=0 equation:


Simplifying
x2 + -42x + 525 = 0

Reorder the terms:
525 + -42x + x2 = 0

Solving
525 + -42x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-525' to each side of the equation.
525 + -42x + -525 + x2 = 0 + -525

Reorder the terms:
525 + -525 + -42x + x2 = 0 + -525

Combine like terms: 525 + -525 = 0
0 + -42x + x2 = 0 + -525
-42x + x2 = 0 + -525

Combine like terms: 0 + -525 = -525
-42x + x2 = -525

The x term is -42x.  Take half its coefficient (-21).
Square it (441) and add it to both sides.

Add '441' to each side of the equation.
-42x + 441 + x2 = -525 + 441

Reorder the terms:
441 + -42x + x2 = -525 + 441

Combine like terms: -525 + 441 = -84
441 + -42x + x2 = -84

Factor a perfect square on the left side:
(x + -21)(x + -21) = -84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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